This paper deals with the Cauchy problem for a PDE-ODE model, where a system of two conservation laws, namely the Two-Phase macroscopic model proposed in [Rinaldo M. Colombo, Francesca Marcellini, and Michel Rascle, SIAM J. Appl. Math., 70(7):2652—2666, 2010], is coupled with an ordinary differential equation describing the trajectory of an autonomous vehicle (AV), which aims to control the traffic flow. Under suitable assumptions, we prove a global-in-time existence result.

Garavello, M., Marcellini, F. (2024). AUTONOMOUS VEHICLES DRIVING TRAFFIC: THE CAUCHY PROBLEM. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 22(3), 817-844 [10.4310/CMS.2024.v22.n3.a9].

AUTONOMOUS VEHICLES DRIVING TRAFFIC: THE CAUCHY PROBLEM

Garavello M.;Marcellini F.
2024

Abstract

This paper deals with the Cauchy problem for a PDE-ODE model, where a system of two conservation laws, namely the Two-Phase macroscopic model proposed in [Rinaldo M. Colombo, Francesca Marcellini, and Michel Rascle, SIAM J. Appl. Math., 70(7):2652—2666, 2010], is coupled with an ordinary differential equation describing the trajectory of an autonomous vehicle (AV), which aims to control the traffic flow. Under suitable assumptions, we prove a global-in-time existence result.
Articolo in rivista - Articolo scientifico
2 x 2 Hyperbolic Systems of Conservation Laws; Autonomous Vehicles; Continuum Traffic Models; Control Problems; Mixed PDE-ODE System;
English
4-mar-2024
2024
22
3
817
844
none
Garavello, M., Marcellini, F. (2024). AUTONOMOUS VEHICLES DRIVING TRAFFIC: THE CAUCHY PROBLEM. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 22(3), 817-844 [10.4310/CMS.2024.v22.n3.a9].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/476039
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